code: def _sub_expand_grid(value, grid_index, key):  # noqa: F811
      """
      Expands the pd.Series/pd.Index based on `grid_index`.
      Returns a dictionary.
      """
  
      name = value.name or 0
  
      return {(key, name): value._values[grid_index]}
  
imports: from __future__ import annotations
  import importlib
  import os
  import socket
  import sys
  from functools import singledispatch, wraps
  from pathlib import Path
  from typing import Any, Callable, Dict, Iterable, List, Union
  from warnings import warn
  import numpy
  import pandas
label_desc: Use image node_id 5 for calling a global function with example usage: _sub_expand_grid(value, grid_index, key) and returns: dict